| DSP Blockset | |
Solve the equation LX=B for X when L is a lower triangular matrix.
Library
Math Functions / Matrices and Linear Algebra / Linear System Solvers
Description
The Forward Substitution block solves the linear system LX=B by simple forward substitution of variables, where L is the lower triangular M-by-M matrix input to the L port, and B is the M-by-N matrix input to the B port. The output is the solution of the equations, the M-by-N matrix X, and is always sample-based.
The block only uses the elements in the lower triangle of input L; the upper elements are ignored. When Force input to be unit-lower triangular is selected, the block replaces the elements on the diagonal of L with ones. This is useful when matrix L is the result of another operation, such as an LDL decomposition, that uses the diagonal elements to represent the D matrix.
A length-M vector input at port B is treated as an M-by-1 matrix.
Dialog Box
See Also
| Autocorrelation LPC |
DSP Blockset |
| Cholesky Solver |
DSP Blockset |
| LDL Solver |
DSP Blockset |
| Levinson-Durbin |
DSP Blockset |
| LU Solver |
DSP Blockset |
| QR Solver |
DSP Blockset |
See Solving Linear Systems for related information.
| | Flip | Frame Status Conversion | |
